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2 years ago

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.

Mathematics

1 answer:

jeyben [28]2 years ago

8 0

Answer:

Step-by-step explanation:

Let x be that number

The equation will be the following:

● (2/3)x - 11 = x + 4

Add 11 to both sides

● (2/3)x - 11 + 11 = x + 4 + 11

● (2/3)x = x + 15

Add -x to both sides

● (2/3)x - x = x + 15 - x

● 2x -3x/3 = 15

● -x/3 = 15

Multiply both sides by -3

● -x/3 × 3 = 15 × -3

● x = -45

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

4 0

11 months ago

If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?

Svetlanka [38]

Answer:

The residual value is -0.75

Step-by-step explanation:

we know that

The residual value is the observed value minus the predicted value.

RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]

where

Predicted value.--> the predicted value given the current regression equation

Observed value. --> The observed value for the dependent variable.

in this problem

we have the point (1,4)

The observed value is 4

<em>Find the predicted value for x=1 </em>

$y =1.5(1)+3.25=4.75$

predicted value is 4.75

RESIDUAL VALUE=(4-4.75)=-0.75

4 0

3 years ago

A number is squared. The result is squared, then that result is squared. The final number is 6561. What was the original number?

MissTica

The original number is 3.

I actually began with the guess-and-check method, but seeing as that won't always work, let's go over the formal way. To get the original number, you first need to determine how many times the number was squared.

To make it simple, let's use x to focus on the exponents. The number was squared 3 times, so x^2, x^2, x^2. Basically, you need to multiply. 2 * 2 * 2 = 8. So, now find the 8th root of 6561 (depending on the calculator, you can just input it). You should come up with 3. Let me know if this part confuses you.

To find the next 2 numbers, you just need to continue the pattern.

6561^2 = 43,046,721

43,046,721^2 = 1,853,020,188,851,841

To my knowledge, which means this could be wrong, they're both perfect squares. Since the number to get them both were whole numbers, they should both have a square root that equals a whole number.

3 0

3 years ago

A store sells snacks by weight. A six ounce bag of nuts costs 3.60 will a two ounce bag cost more than or less than 1.25

densk [106]

5.30 it is correct hope this works brah

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3 years ago

If the standard deviation of the data values in a sample is 13, what is the

user100 [1]

Answer:

A. 169 is the correct answer

3 0

2 years ago